We're dividing 895588 by 79 
We want to divide 895588 by 79.

Going ahead to step 1:
79 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 79

Advancing to step 2:
If we divide 89 by 79, we get 1 and a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 10 after subtracting 79 from 89.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 79

Let's proceed to step 3:
When dividing 105 by 79, we get 1 with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 79 from 105 to get 26.
Grab the next digit (5) from the dividend, add it to 26, then carry on: 265 / 79

Going ahead to step 4:
If we divide 265 by 79, we get 3 and a remainder of 28.
The next digit of our result is 3. 
Result so far: 113.0
Deduct 237 from 265 and we're left with 28.
Include the next digit (8) from the dividend after 28, then repeat: 288 / 79

On to step 5:
If we divide 288 by 79, we get 3 and a remainder of 51.
Put 3 as the next digit of the answer. 
Result so far: 1133.0
Subtracting 237 from 288 leaves us with 51.
Include the next digit (8) from the dividend after 51, then repeat: 518 / 79

On to step 6:
79 can be fit into 518 6 times, resulting in a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 11336.0
If we subtract 474 from 518, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 7:
79 goes into 440 5 times with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 11336.5
If we subtract 395 from 440, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 8:
The number 79 fits into 450 5 times, leaving a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 11336.55
Subtract 395 from 450 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The final result is 11336.55 with a remainder of 0.055.